College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.7 - Rational Expressions - P.7 Exercises - Page 50: 13


$\left\{x|x \ne 2, x\ne -1\right\}$

Work Step by Step

Factor the trinomial in the denominator to obtain: $=\dfrac{x^2+1}{(x-2)(x+1)}$ The denominator of a rational expression is not allowed to be equal to zero as it makes the rational expression undefined. Note that when x=2 or x=-1, the denominator will be equal to 0. Thus, the domain of the expression is any real number except $2$ and $-1$.
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